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Finding the Fourth Proportional to 708,841.70, 978,183.78 and 386,558

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Solution

The fourth proportional to 708,841.70, 978,183.78 and 386,558 is: 533,440.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,841.70 : 978,183.78 = 386,558 : x
  2. Step 2: Convert to fraction form
    708,841.70/978,183.78 = 386,558/x
  3. Step 3: Cross multiply
    708,841.70x = 978,183.78 × 386,558
  4. Step 4: Simplify right side
    708,841.70x = 378,124,765,629.24
  5. Step 5: Solve for x
    x = 378,124,765,629.24/708,841.70
  6. Step 6: Final answer
    x = 533,440.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.